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Finding the Third Proportional to 168,138 and 363,749.50

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Solution

The third proportional to 168,138 and 363,749.50 is: 786,935.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,138 : 363,749.50 = 363,749.50 : x
  2. Step 2: Convert to fraction form
    168,138/363,749.50 = 363,749.50/x
  3. Step 3: Cross multiply
    168,138x = 363,749.50 × 363,749.50
  4. Step 4: Simplify right side
    168,138x = 132,313,698,750.25
  5. Step 5: Solve for x
    x = 132,313,698,750.25/168,138
  6. Step 6: Final answer
    x = 786,935.13

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.